Problem G4 is incorrect as stated. (Reported by L. Kang with an example.) A correct statement would replace "equicontinuous" by some sort of "spherical" equicontinuity (this refers to a metric on the extended complex plane viewed as the two-sphere in R3). We can amend and correct the problem by the following statement: "Any sequence of positive harmonic functions on a domain must have a subsequence which either diverges uniformly on compact subsets to +infinity or converges uniformly on compact subsets to a harmonic function."
Problem H5 is incorrect as stated. (Reported by L. Kang with an example.) To repair it, delete "If U is a disc," and begin the problem with the sentence, "Suppose L is a fixed compact subset of U and K is any compact subset of U contained in L."
Problem J10, the last problem, of course has a misintended statement in the last sentence. Please interchange S and T in that sentence.