I had a few more thoughts (in the middle of the night!)
Since you are re-basting, be sure to baste from the center out - up and down and out to each side, then to each corner. On a large project you will need to baste between these lines, too. If you don't baste from center out you will have a mess trying to line things up at the edges.
Don't try to take too many stitches on the needle at first - just two at a time, then increase it as you become more comfortable.
As many others have stated, it's more important to get your stitches even than tiny.