so you guys are absolutely sure.. this thing could not have had some dead branches?? obviously the tree guy left the live parts.. suggesting to me.. there were some actual dead branches ... now i might not trust with plant lore.. is the real estate seller.. crikey ... they may have thought crabgrass was an exotic looking plant.. lol .. you can get the name of just about anything in this forum ... so lets not rely on strangers outside their specialty.. to tell you about what is in your garden ... and.. BTW... who could have damaged this plant severely .. is the lawn service ... you need to remove a 3 to 5 foot circle of grass... and add a mulch ring.. to keep the nut with the lawnmower and weedwhip away from it .. weedwhips damage more plants than tree guys.. and real estate peeps.. and it could have happened with the prior owner ... i dont think you really know how long the dead parts were dead.. now do you??? ken

Guessing Dendrobium. Much of the plant is in shadow, so it's hard to tell which genus.

The first is a bulb (technically a corm)...Colchicum autumnale. I don't recall the name of #2 at the moment. The third is Fuchsia magellanica. I don't know #4

Also a tricky plant to grow. A daphne relative, it requires much the same growing conditions and shares the same persnickety, temperamental nature. I have to say I am a little surprised to see an Asian woodland plant apparently thriving in Brooklyn!!