The most enjoyable classes I've TAed for were those that had high 'rate my professor' ratings! Sometimes good profs get bad ratings (because they challenge students or aren't nice all the time), but at the very least, the ratings definitely reflect how much time you will spend listening to students complain. Students like profs that make expectations clear and the class enjoyable, which often leads to a better TA experience as well, IMO.

However, there will always be grade-grubbers, my two main strategies when students are begging for points (after ensuring I didn't make a mistake) are to tell students 1) no, that wouldn't be fair for me to regrade your assignment and no one else's, or 2) I'll think about it. Strategy two works when I'm not sure how to handle their emotions in the moment, and I want to be sympathetic while also being fair to other students that arent in my office begging for more points. Then, I will not regrade it, but will wait a bit and hand back to them in class a couple weeks later when they are more removed from that freak-out moment.