Once the weather clears,I would remove those poles.
Dig a new hole several feet from the existing one using a post hole digger.It will give you a nice shaped hole.I'd make the hole were you have about 6 inches of space on all sides of the pole.
You probably need to go down close to 36 inches.Make sure your pole has some sort of pretude ,angle iron,or just a nice long bolt on it to keep it from moving in the hole once the concrete sets.
If you don't understand that part,just run a 8-10" bolt through around the bottom.This will help stablize your poole from rolling in the hole.2 bolts would be best,about 6" apart.
Once you got your hole dug,pole ready,then get some concrete mixed-set your pole in the hole(maybe putting a tad of gravel at the base for draiange)and then put your pole in the hole,pour concrete and plum your pole.
Make sure your pole is perfect level at top,plum on ALL sides.Check this during your drying time .Once your concrete has set,let cure at least over night,even if it's quick set,I'd let it set.
Then,before remounting the dish,make sure your level and plum.Wa Bam.That's it.
Good luck