Kerbals reappearing isn't a bug, it's a setting. You can change it if you'd like.
Rendezvouses are one of the toughest things. But basically it's these steps;
1) Get both objects in (round) orbit.
2) With your control object (whatever the one is you'll be doing most of your maneuvering with), match planes with the target. Just find the AN or the DN and make a maneuver node there, pull one of the pink thingers until the AN/DN shifts around and is around 0 degrees.
3) You want both your ship and your target to be in approximately circular orbits. You can do others, but it's harder. Move your ship so its in either a larger or smaller orbit. If your distance is very far, you can make the orbit much smaller/larger to catch up, but overall, you want them kind of close so you can make changes easier.
4) When your ships are close-ish together, make a maneuver node and adjust your orbit to just barely intersect your target. It'll show the orange or purple triangles that tell you how close you'll get. You can move the maneuver node forwards or backwards on your orbit to get closer or further. If you can't get within 2.5km, wait an orbit or two and try again. You really only want to intersect at one point, or two close-together points.
5) Make your burn. Be very careful; little mistakes can have big impacts.
6) Once you get within about 2.5km, make sure your velocity is showing relative to the target. If it isn't, you can click on the velocity display to change it. At this point we're not doing orbits, so much as trying to approach (but with curves).
7) Burn until your velocity is around 10m/s, and your prograde is on the target. If your prograde is off target, you can burn on the opposite side of the target to accelerate and bring it back on target, or you can burn on the opposite side of retrograde from the away-from-target to decelerate and bring you on target.
7) Once you're within around 200m, you can use the ] key to change focus to your target. If you're just rescuing a kerbal, do that, have your kerbal do an EVA, and fly over. If you're doing a rendezvous, you can 'Control from Here' on your port and bring it around so it's pointing at your ship.
On your ship, drop to about 5m/s or less (less with bigger ships) and use the DEL key to shift to docking mode. Turn on RCS. Space changes from your normal aiming controls to lateral sliding. Make sure you 'Control from Here' from your docking port. You also want to dock during daylight, because it's good to be able to see. Just bring it in very slowly and continue to drop speed. Once they touch straight-on at about 1m/s, they'll bob back and forth a few times, then should connect.
It took several days of practice for me to get it the first time. Now it's pretty quick, usually about an hour. If you're doing Sandbox, Mechjeb can do it all for you. Otherwise you need to unlock that with science.