2008 Dodge Nitro

My Right turn signal is acting up!!! When I activate the right signal the bulbs are functional but are dimmed and pulse as if it’s trying to function properly but the reverse lights come on and pulse dimmed!! Also at the same time, the fog lights in the front go off when I use the right signal and come back on when not using the right signal!!

I’ve taken the back light housing off and manipulated the wires/repositioned them and the back lights worked properly but the fog lights still went off!!!Then it went back to the original problem I described earlier where all those lights were acting funny again!!! Is this a short or a fuse??? Can I fix it myself?? If so, how!!!