Celica oil weirdness

So I've got a 2001 Celica GT.  It sat for three years and upon first start it leaked
all its oil out of the oil filter. So I replaced that and its been running awesome,
except for the fact that its burning oil at a alarming rate (after going for a 30
minute drive then an hour or two later driving back almost everyday or so for a
week I have to put a quart in it cause its below the dip stick)  and randomly will
shoot some oil out the exhaust pipe.  It seems like when I don't drive it for a
day or to it sprays a little oil all over and leaves a really small puddle behind it.   
Is my engine almost shot?  I haven't put to much money into it yet so it'd be
great to know if it is before I do.

Thanks,
Nate