You want confirmation that the hoses are correct?
Sounds like you've been a realoem...there are, iirc, two heater hoses, two engine cooling hoses...and then, two hard pipes...which I didn't replace...and I also gave up on the hose from heater valve to rear of engine...another time...she got enough out of me that trip!
Four hoses is what I have, and would guess you too...plus, of course, upper and lower rad hoses...but those are hard to miss!
Let me know if I can help...been there, done that. For me...channel lock pliers!
Gentle wiggling or you'll be buying the plastic pipes too, I suspect. Know some have sprung a leak from there...prolly should've replaced 0-rings (which I think they have), but that'll be for another time too!
Upcoming comedy shows: March 3 at Broadway Comedy Club, NYC, 8 p.m. March 5, Tierney's Tavern, Montclair, NJ, 7:30 p.m. See Facebook for other shows and PM me if you can make one...love to see you there!
Mangofy your E46!