Oh my, don't give up instead try something a little simpler until you get the hang of it.
Read the pattern carefully to find out if your beginning chain 3 (or whatever amount they say) on each round is supposed to count as your first stitch and, if it is, then be sure you skip the first stitch after you chain - otherwise you're going to be adding a stitch each row. The 'hole' appearance at the beginning of a round is natural because of the chain and skipping a stitch but, in the end it will look okay.
Also, count lots - I've been crocheting for over 30 years and I still count lots and if it's a pattern I'm not familiar with, I count stitches as I'm crocheting to be sure I'm doing it right.
Make sure you don't put 2 stitches in the same spot when you aren't supposed to - it's a common mistake but will make things difficult - I did it a few days ago but, fortunately, discovered it before I was too far along and only had to frog a little.
The longer you crochet, the easier it will become and you will also learn to fix some mistakes instead of having to rip the project apart