Nice Work, I liked it.
By the way, I kind of had a thought that the time egg allowed Marle,Lucca etc to actually go into the Ocean Palace that was already in the DBT. That may explain why everything there was frozen. I don't know why it'd be discarded, but it's unsure why it would be frozen if the Time Egg can only take you back to a certain place in time.
By the way, RD to me kind of implied that the Time Egg itself can't just lead you back to any era. That was why Lynx wanted it with the Frozen Flame, and as he had said, when combined, one has power over all of time and space since they can go anywhere anytime pretty much.