Housebreaking & Training 6 Month Old Cocker Spaniel

Question
I adopted a 6mo. old male cocker spaniel 2 weeks ago. He was with another owner for 9 days (their children were allergic) prior to my adopting him and with a pet store and his breeder prior to that.  I live in an apt. on the 3rd floor of a walk-up building.  He went from being afraid of the stairs to running up and down them without any accidents in about three days. And he didn't have any accidents in the hall or on the stairs . The only accidents he had were in the apartment but I figured that was natural since obviously he wasn't housebroken.  The first few days I noticed his stool was loose and I thought I saw a few drops of blood so when I took him to the vet at Petco for his vaccinations I told them and they just gave him a dewormer and said to watch his stools.  The day after that visit he started peeing in the hall or on the stairs on the way down and sometimes that wasn't all he did.  He also peed on the couch several times as well as continuing to pee in the apt.  A couple of days later his stool was still loose and I definitely saw blood so I called around and found a vet to see him.  They immediately put him on amoxicillin 150mg. 2x day for the last 6 days.  They say from the stool sample there's nothing wrong there but that he has a urinary tract infection and will need another week or two of the amoxicillin.  I'm trying to housebreak him without any luck so far.  I don't have room for a crate but I do keep an eye on him at all times since I'm at home.  He's playful, funny and has a great time with my 3 cats.  The problem is he pees whenever he wants and wherever he wants.  Whether it be in my apt. or on the way downstairs on the stairs or on a landing, or on the couch and this morning on his bed.  I walk him 6 times a day.  At every walking he either does both or at least one thing yet he continues the apt. or stairs peeing.  Any suggestions?  I don't want to keep telling him "bad dog" because I don't want to make him neurotic yet he doesn't seem to get it.

I've also been trying to teach him sit and heel and to keep him from pulling when I walk him. He'll sit for about a second then he starts pulling I'm afraid he's going to hurt himself or break loose and run into traffic, I'm in NYC.  What can I do?  Any help you can give me would be appreciated.  Thank you  

Answer
A third floor walk up and a UTI are a bad combination.  Do your best the next few days and hope the antibiotic does its job quickly.  If you see him quit playing and start sniffing around, get him out quickly.  Doubly so if it is around past accidents.  Carry him down if you can.  Some problems don't have a very good answer.  If you are still having trouble after the infection clears up, get back to to me.  

I can do better on the pulling.  Since you dog is 6 months old, you can start with a good 6' leather leash and a sturdy slip collar, the metal chain
ones with the rings on each end. You want the shortest one that will go on
and off easily. If you walk with the dog on the left, pull the chain through
one loop forming a "P". Facing it, slip it over its head. The free end
should come over the neck to the leash, and the other end should drop slack
when there is no pull on the leash.

Easier dogs will give up their pulling with a few good snaps of the leash
combined with a stern "Bad dog!".  You can work up to forceful corrections
with the leash doubled up in both hands and your whole body behind it.   But
you don't want to use any more force than you need.  One gentle technique I
like is to just stop when he pulls.  He wants to go.  If you move forward when
the leash is slack, and stop when he pulls, he should quickly figure out the
only way to get to go, is not to pull.  This is about teaching him not to
pull, not getting somewhere.  The man that taught it to me said "If in a half
hour you haven't made it out to the front walk, fine, you have taught him a
lesson.

Still, you may want to switch to a head collar.  The leading brands are Promice,  Haltie, and Gentle Leader.  They have a
strap going around the dogs nose looking something like a muzzle.  They work
by pulling the dogs head around.  No other way gives you such great control
with so little force.  The prong collar is now a dangerous relic of value only
for its macho looks.  Do not consider using one without hands on instruction
from somebody with plenty of experience with them.