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I would replace the water heater and leave the furnace and AC alone. They may not be running as efficient as a new one, but with maintainance and replacement of parts as needed they should both last you a bit longer. Our boiler is from 1989, also gas. We have it serviced yearly and have replaced a few parts. I do plan to replace it in a few years, but its still doing its job. We received a quote last year and the cheapest was just over $5K and the most expensive was $10K - all from the same company that quoted us different "levels" of boilers. I know those are ridiculous prices and needless to say we kicked that company to the curb this past year and are now using a smaller, local place that we have been fairly happy with. We'll have them quote on a new one next year to see what they come in at.
They're working right now ... expecting a credit to replace them is a desire, not a necessity.
Ask for a home warranty at closing with the proper coverage and call it a day. I wouldn't push for a replacement.
Until the transaction is completed, the seller still has the upper hand. Thinking "the worst they can say is no" isn't just about a counter-offer for credit ... they could say "no; refund the deposit, we're finding another buyer" too. Read every line of the contracts ... mine's had the verbiage that the seller (bank) could rescind the sale if they so desired to.