Eli can jump house walls without permission?

[Marok]

Oh yeah, I completely forgot about Virginia as well.
Like BravoHotel said, the room, she was brought to, was probably unoccupied, even designated for her.
However, with the hospital not being all that private, it isn’t entirely public either, so maybe it was still causing her discomfort? That nice second post coming into play again.

[metoo]

But the blood transfusion not used for foods to vampires. When Hakan will fetch blood for Eli in the first time he says about the quality of blood. The blood can not take long after be removed from the victim. The closer the better source. Moreover blood of transfusion suffer various stages of preparation for transfusion that probably take it effect.

Yes, that would be the answer to why Virginia still wasn't stronger than a normal woman, and why she still was hungry. Regarding invitation, I lean towards the idea that intentionally bringing a vampire inside physically amounts to the same as inviting him/her.