In relation to the first question, I don't think that would be an issue as the fact you've applied for a direct TC shows you're clearly enthusiastic about the firm and the fact you have a VS shows you're a competitive candidate.
Regarding the second point, as unfortunate as it is the firms don't have to extend your offer so it may just be that you have to accept one and leave the other. I think the recommended time for an offer is until Sept for penultimate year students and 4 weeks for all others but again I think that is firm's discretion