Hi Chockstone,
Thank you for choosing Windows 8 and giving us a chance to assist you.
It looks like you have issues with downloading apps from windows store. Let me assure you that you have come to the correct place for the resolution of your issue.
I would like to inform you that to install apps from windows store you need to have a Microsoft account. You will not be able to download apps from windows store with a local account.
I would suggest you to follow these methods and check.
Method 1:
Run Apps Troubleshooter
Download and run the Modern UI App troubleshooter. Here are the links for your reference.
http://download.microsoft.com/download/F/2/4/F24D0C03-4181-4E5B-A23B-5C3A6B5974E3/apps.diagcab
What to do if you have problems with an app
http://windows.microsoft.com/en-GB/windows-8/what-troubleshoot-problems-app
Method 2:
Try to install in Clean boot state:
Clean boot: To help troubleshoot error messages and other issues, you can start Windows by using a minimal set of drivers and startup programs. This kind of startup is known as a "clean boot." A clean boot helps eliminate software
conflicts.
Step 1:
a) Press the ‘Windows + R’ key on the keyboard.
b) In the ‘Run’ windows type ’MSCONFIG’ and click ‘Ok’.
c) Click the ‘Boot’ tab and uncheck ‘Safe Boot’ option.
d) On the ‘General’ tab, click to select the option ‘Selective startup’, and then click to clear the option Load startup items check box.
e) On the ‘Services’ tab, click to select the ‘Hide all Microsoft services’ check box, and then click ‘Disable all’.
f) On the ‘StartUp’ tab, click ‘Open Task Manager’. In the Task Manager window under startup tab, right click on each startup item which are enabled and select ‘Disable’.
f) Click ‘OK’, and then click Restart.
Step 2:
Enable half of the services
a. Follow steps 1a and 1b to start the System Configuration utility.
b. Click the Services tab, and then click to select the Hide all Microsoft services check box.
c. Click to select half of the check boxes in the Service list.
d. Click OK, and then click Restart.
Step 3:
Determine whether the problem returns
If the problem still occurs, repeat step 1 and step 2. In step 2, click to clear half of the check boxes that you originally selected in the Service list.
If the problem does not occur, repeat step 1 and step 2. In step 2, select only half of the remaining check boxes that are cleared in the Service list. Repeat these steps until you have selected all the check boxes.
If only one service is selected in the Service list, and you still experience the problem, the selected service causes the problem. Go to step 6. If no service causes this problem, go to step 4.
Step 4:
Enable half of the Startup items
If no startup item causes this problem, a Microsoft service most likely causes the problem. To determine which Microsoft service may be causing the problem, repeat step 1 and step 2 without selecting the Hide all Microsoft services check box in either
step.
Step 5:
Determine whether the problem returns
If the problem still occurs, repeat step 1 and step 4. In step 4, click to clear half of the check boxes that you originally selected in the Startup Item list.
If the problem does not occur, repeat step 1 and step 4. In step 4, select only half of the remaining check boxes that are cleared in the Startup Item list. Repeat these steps until you have selected all the check boxes.
If only one startup item is selected in the Startup Item list, and you still experience the problem, the startup item that is selected in the list is the service that is causing the problem. Go to step 6.
If no startup item causes this problem, a Microsoft service most likely causes the problem. To determine which Microsoft service may be causing the problem, repeat step 1 and step 2 without selecting the Hide all Microsoft services check box in either
step.
Step 6:
Resolve the problem
After you determine the startup item or the service that causes the problem, contact the program manufacturer to determine whether the problem can be resolved. Or, run the System Configuration utility, and then click to clear the check box for the
problem item.
Step 7:
Note: After you have finished troubleshooting, follow these steps to boot to normal startup.
a) Press the ‘Windows + R’ key on the keyboard.
b) In the ‘Run’ windows type ’MSCONFIG’ and click ‘Ok’.
c) On the ‘General’ tab, click the ‘Normal Startup’ option, and then click ‘OK’.
d) When you are prompted to restart the computer, click ‘Restart’.
Method 3:
Perform System File Checker
a. Press the Windows + X keys and click/tap on Command Prompt (Admin).
b. In the elevated command prompt, type sfc /scannow and press Enter.
NOTE: This may take a while to finish running.
The sfc /scannow command scans all protected system files and replaces incorrect versions with correct Microsoft versions. When the scan is complete, the System File Checker tool indicates whether integrity violations were found. If integrity violations
are found, the System File Checker tool lets you fix the integrity violations.
Method 4:
Disable proxy connection
If you are using any Proxy connection, then try disabling the proxy connection and check.
Follow the steps to disable proxy Settings:
a. Click the Gearbox at the top right corner in internet explorer.
b. Click the Tools button, and then click Internet Options.
c. Click the Connections tab, and then click LAN settings.
d. Uncheck the Use a proxy server for your LAN check box.
e. Click ok.
Hope it helps. For further queries feel free to come back.