2002 Honda Accord Overheating engine

Hi
ive got a 2002 Honda accord, e(either the LX or Dx model) with a V6 engine, 214000 miles. And a problem with the coolant system. It all began when the service light came on (not check engine) due to it being overdue for an oil change I checked the oil and it was extremely low. I had to add 3 qts. Then I noticed the car was driving and idling rough and the temp gauge was going up. I stopped again and checked the coolant and the overflow tank was empty. I added coolant. Ran the car and it started to idle a little better but still kinda rough. Then drove it less than a mile and the temp gauge once again rose up. When I checked the coolant overflow tank it was empty again. This time I added it directly through the radiator cap and the problem seemed to be fixed, though the car still wasn't running 100% and there was a quiet ticking sound which eventually went away. Through the week the car would drive ok for short distances but the temp gauge always ended up high but the coolant overflow tank was still filled to medium/high. Then one day white smoke started coming out from ye hood. I pulled over Immediately and when I popped the hood I could see that the upper radiator hose had melted. I did not check the level of fluid in the radiator itself and as of right now the car is, hopefully still, parked on the side of the road. My plan is to replace both the radiator cap as well as the upper hose and check on the lower hose as well but my question is what do you think the issue is? The radiator cap looks like it might be damaged so perhaps there isnt adequate pressure? Possibly a leak? Air in the line (and if so how do I prevent that in the future)And lastly, what other parts should I inspect for damage and what other systems could have been harmed by this, and how do I check those?