I found your question when having a similar problem with my PC; in my case, I added Access 2010 to a PC with Access 2003 - when I did that, it caused problems when I tried to filter on forms. The solution was to downgrade a DLL
C:\Program Files\Common Files\Microsoft Shared\MSClientDataMgr\MSCDM.DLL
Version 14.0.4731.1000 had to be downgraded to 11.0.8204.0. Suddenly filtering worked again!
So last night I was testing one of my ADPs in Access 2010 (they want us to upgrade!) and I got the same problem you had - it was appending "1" to tables, views, stored procedures, etc. So on a whim, I changed back to the newer DLL. It did the trick and I have my tables/objects back! It appears that different versions of the DLL have problems with different versions of MS Access.
Although you may have uninstalled Access 2013, it wouldn't have changed all your DLLs to the old one. I'd suggest that you rename the MSCDM.DLL (right-click it and get the version number first) and see if you can get Version 14 installed in its place. It shouldn't require a registration or a reboot - mine worked when I replaced the DLL and opened my ADP again.
Good luck!
- Kevin