This is going to be confusing...

I have a junction box pulling power from the house to a detached garage. There is a switch in the house that is supposed to control the exterior lights of the garage. Those lights are also supposed to be controlled by a switch in the garage. There is a second switch in the garage that needs power to control the inside light. Currently, there is no power going to the garage at all... no circuits are tripped as far as I know.

The junction box set up is as follows:

Coming from the house:
(2) black
(2) white
(2) copper
(1) pink

Coming from under ground:
(1) black
(1) white
(1) blue (no idea where this goes to )
(1) green
(1) pink

Currently I have this set up as:

- All whites connected
- (1) house black/(2) pink/(1) garage Black
- (1) house black/(1) blue
- (1) copper wire wrapped around ground screw, then twisted and connected with 2'nd copper wire and (1) green wire.

I am so confused and don't want to mess with it anymore. Currently, house lights have power, but the garage exterior lights (2 of them) do not have power, the inside garage light (separate switch) does not have power, and the garage door does not have power.

I also have to check but it seems that I can't find a single hot wire anymore...

2 of several lights working at the garage, means you may have a problem at the garage.
Guessing, I would say the pink and blue need to be your travellers for 3 way switching, and these will only connect to the 3 ways(same colored screws), then the common of 1 3 way will get a constant hot, and the garage 3 way's common will connect to the lights wire.

2 of several lights working at the garage, means you may have a problem at the garage.
Guessing, I would say the pink and blue need to be your travellers for 3 way switching, and these will only connect to the 3 ways(same colored screws), then the common of 1 3 way will get a constant hot, and the garage 3 way's common will connect to the lights wire.

I have no power at all in the garage?

I would check at the house breakers, may be tripped, but not thrown.
Check for power at the house 3 way switch.

How do I tell if it is tripped?

I usually run finger down the rows of breakers with my finger and it will usually move to the thrown position(between on and off), you have to move breaker all the way off, then back on, Square D?
A meter or tester will tell for sure.
Is their a switch next to the switch in the house, and does that device work?