"And me, Furry Buddy."
(I'd capitalize it if it's supposed to be the cats name)
"Now I am doing research on a love potion."
(Grammatically correct, but I think better formulations would be:
"I'm currently working on a love potion."/
"I'm currently developing a new love potion."/
"I'm currently researching love potions.")
"What happened?! Who caused this fire?!"
"We need to find a new place to do research."
(It should also work the way you wrote it without the "we")