1. Can you use Super Strength and Haymaker together, and if you can you would also be able to charge doing SS and HM right?

2. Do Super Strength and Exploit Weakness work together?

1. Yes and yes.

2. Yes.

...and before anyone asks: yes, you can use Charge, Superstrength, Exploit Weakness and Haymaker all in one action. Behold the terror that is Magog...

You cannot use Haymaker with EW, as both are Close Combat Actions.

####. My bad. Still not used to these darn feats... Oh well.
Oh well, give Magog 2 more Perplexings and you get the same result anyway...