As long as you hid the body in a good place where they will never find it.
Its not wrong to feel guilty. This is a difficult one because there is no closure on your feelings for the one who passed. You will almost certainly carry these feelings forever but over time you will understand you also can't be alone forever.
No. It's natural to have those feelings. My gfs husband passed away before we started dating
The feeling's only natural, but dating again is part of moving on.
No, of course you should feel guilty... Because going out with someone else is wrong