Wiring rear tail and running lights won't come on with other lights

Check the tail light bulbs & marker light bulbs.

Usually if my right blinker is flashing fast it means one of my right blinkers is not working either front or back right side. Not sure but I know every vehicle I have ever had was like that. One blinders not working the other flashes fast, on the dash also.
This post he repaired the problem it was the light switch.
Right rear tail light stays lit, won't turn off
https://www.bimmerforums.com/forum/showthread.php?2301226-Rear-tail-light-stays-lit-won-t-turn-off

You have a short in the cross over wire. Almost all cars and trucks have one main break wire with a second wire "y" in off to the passenger side . You could just wire in a cross over and disconnect the old one.

Check for that fuse in a fuse panel under the dash.
That second wire from the old light is a ground wire, whereas the new light's socket is case grounded if there is no ground wire for the light. If the fuse for the tail lights is good, check if the tail lights lost a ground .

get a wiring diagram, follow this circuit, wire by wire, start @ rear, your tail lights, check each bulb, then proceed to front, along frame rail, to switch & fuse block. test for continuity & shorts, bad wires, corrosion, etc

Have you checked that the fuel pump is "humming" in the fuel tank when the ignition is in the "on" position? If it's not,the easiest thing to check, which 99.9% of people don't know about Trackers is a fuseable link located behind your rear tail light (driver's side). If you remove the tail light find the PINK wire (on CDN ones anyway, you can check the top of the fuel tank to see what color it is) where it connects to the fuseable link, this is your power wire, if the link looks melted you won't get power to the fuel pump. Check this before you buy any parts, if it's melted cut the wire on both sides of the link and add a new piece of wire (3-4") and connect the two ends and seal it with silicone or at least electrical tape, it should start now.

at the tail lights the wire is blue, at the rear light junction block ( under the rear body about the center of the rear bumper ) the right side tail light wire is brown/white the left side tail light wire is brown, from the junction block to the tail lights both wires are blue.

If the driver's side tail light is working, it's not a fuse. Use a test light to check for power at the bulb holder. One terminal will be for tail light, the other for brake/turn light. If the is constant power for tail light, replace bulb. If no power, trace wiring from bulb holder to driver's side junction. Probable broken wire between the two tail lights.

turn off and on head lights liston for click under hood by your battery, that clicks your tail light relay. It has 4 wires in it. with head lights on 3 wires should be hot. if only 2 wires are hot replace relay.

Brake light switch, located on upper brake pedal should be checked, that is most likely your brake light issue, but U say tail lights aren't working, but running lights do, tail lights and running lights I would consider to be the same, so can u clarify that for me? Let me know how the u do w/ brake light switch, and if u have issue w/ tail lights?