Cute little bag - very nice colors! This looks fine and most people won't notice it.
In the second picture, it looks like that corner was just very stubborn about popping out all the way. You might be able to force it out with an awl from the outside, but you have to be very gentle and patient with it.
When I put zipper tabs on, I usually make them an inch or so longer than required. I mark the center of the zipper tape not including the tabs, then match to the center marks on the bags, so that way, the tabs will be very close in size. Cut off the excess after the side seams are sewn.
If one side is a tad longer after it's all sewn, it's not going to be noticeable.
I usually use zipper "caps" rather than tabs, because that keeps the zipper out of the side seam entirely. That's where you encase the zipper ends with folded fabric and topstitch the fabric to the zipper ends.
I sometimes adjust the length of the zipper to make sure that my seam allowance will clear the zipper caps by at least an eighth of an inch and use a zipper foot to get close to that cap without sewing into it.
The picture shows the "caps" on the ends of the zippers. These are done with cork, but the same applies to fabric.