Can Gold use telekinesis on your character? Varric and Tali are a yes, Varvara would be immune.
Can Gold use curses on your character? Tali yes with plotting, Varvara would be (again) immune, and Varric's race have naturally high resistance to magic shenanigans, so maybe yes, but with difficulty or only partway or whatever works if it were to happen.
Can Gold "disheart" your character? Basically same as above. With plotting, yes for Tali, no for Varvara, yes-with-difficulty for Varric.
Can Gold make bargains with your character? Definitely yes if it comes up with Varric/Tali, Varvara is... generally immune to all of these types of shenanigans.
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Can Gold use telekinesis on your character? Varric and Tali are a yes, Varvara would be immune.
Can Gold use curses on your character? Tali yes with plotting, Varvara would be (again) immune, and Varric's race have naturally high resistance to magic shenanigans, so maybe yes, but with difficulty or only partway or whatever works if it were to happen.
Can Gold "disheart" your character? Basically same as above. With plotting, yes for Tali, no for Varvara, yes-with-difficulty for Varric.
Can Gold make bargains with your character? Definitely yes if it comes up with Varric/Tali, Varvara is... generally immune to all of these types of shenanigans.