Looks like a certainty unless that heat source is some sort of manifold, confirmed by some pressure or water loss. What system do you have, gravity feed is that a concrete floor?
Although the forum doesn't generally comment on prices because they can vary so much regionally and every job is different that does seem quite heavy. Considering the size of property and those are not exactly large radiators as per Shaun's reference to part L, get a few more quotes then you...
https://hhic.org.uk/uploads/5BD6D5A19764A.pdf
No, needs to terminate externally into a soil, vent or rainwater stack and with an air break or tundish unless direct to soakaway.
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