Ordinarily, ahead means further away, in the direction the speaker (or addressee) is travelling. But no-one appears to actually be moving in OP's examples, so we have to consider other possibilities.
Forward means in the direction the speaker (or addressee) is facing.
The front means either the side of some object nearest to the speaker, or the side from which people usually approach/see the object.
In fact, ahead would do for #1, but only if "the place" refers to an area you're travelling through at the time. If "the place" in #1 is, for example, a house, the front (or the back, the side) would be fine.
For #2, ahead could refer to the direction you were travelling before you got out of (not off) the car. The front doesn't make a lot of sense, because there's nothing to suggest the front of what [object].
I can't see how to contrive a context where ahead makes sense for #3. Come/move forward seems most likely here.