I can not install any apps on my phone because when i try to open google play store, it just gives a glimpse and gets closed. Please help me to resolve this issue.
You can install from your Play Store account (via the Gmail screen if you like) on a pc to your device, where you will see if you have any account log in issues.
Check if Download Manager app and Google Play Store apps are enabled OK on your device, Settings - Apps/Applications Manager - All.