a) If you dig up what the corrupt official did in the past, all you get is dirt. "dirty" (adjective) is grammatically correct, but the usual saying is "dirt" (noun). b)It’s really beyond my imagination that I dug up dinosaur bones in the courtyard of my house!! It's really beyond belief that I dug up dinosaur bones in my (house's) courtyard. c)The implication of this statement took a while to sink in (for me). d)Mat still doesn’t get/understand the reason Caroline broke up with him. The reason Caroline broke up with him still hasn't sunk in for Mat. <-- this is a little awkward because you should use the name Mat BEFORE using the pronoun "him". f) Follow through with what your heart wants, and everything will be alright. If you follow through with what your heart wants, everything will be alright. If you follow your heart, everything will be alright.