Bad heat in basement and kitchen of house.

I have a customer who has been dealing with unbalanced heat in a 3 story brownstone in Brooklyn. She says at some point someone had a steam to hot water conversion done to the house. I believe it is some type of old gravity hot water system but I am not sure. The piping in the boiler is two 4 inch mains that continues about 10 ft into the basement before turning into 2 1/2 mains thats continue back to the entire house with a bunch of 2 and 2 1/2 piping all throughout the basement ceiling. The piping is a mess and it’s hard to determine what’s a supply and what is a return pipe. She had been complaint about the house taking forever to get hot and not enough heat in the kitchen, which is the furthest point away from the boiler room and she has a tenant that lives in the basement in the furthest point away from the boiler room. The basement apartment furthest away from the boiler room has also complained about bad heat The basement has no radiators with the exception of the supply and return piping in the ceiling, and some of the ceiling piping has baseboard fin piping attached to the ceiling piping. She has expressed interest in adding radiators to the basement.The kitchen has two sets of baseboard, along with a modern wall hung radiator a contractor added to the kitchen. Also as a side note the kitchen is absolutely massive with windows and doors everywhere. 
After I told her that I was not going to get involved with a system like that She had a heating contractor tell her she needed to add a high velocity pump, add the prv closer to the boiler (it’s currently outside in the hallway outside the boiler room) and add a bypass valve so the system can fill faster. He also reckons insulating all ceiling piping. Currently she has a bell and gosset series 100 pump and the return side of boiler. Her expansion tank is on the supply and the feed valve is in the hallway ceiling. The price the contractor quoted her was around 4,000 so she decided to ask me if I can do it for cheaper. I am skeptical about the diagnostic the contractor made to resolve the issue as the basement currently does not have a actual heating system beside ceiling piping and a few scattered ceiling baseboards attached to supply and return piping. As for the kitchen she has 3 separate radiators devices and a central air system and that still is not satisfactory for her. My recommendations was to let the original contractor do he suggested repair, the add a mini split system to the kitchen and basement apartment for heating, to add a separate boiler to heat the kitchen the basement apartment, or to re do the heating system with a modern system. My questions are if I was to continue with the contractors advice, what type of pump would I add and is there any consultants or contractors experienced with this type of system located in Brooklyn New York that would be able to help with this system.