Straight line distance from SFO (closest) to HNL is 2084 nm. From Seattle it is 2328 nm. The stated range for the LR60 is 2500 miles. I'd assume that is nm, but you never know. On a calm summer day, I think going out of SFO shouldn't be a problem, assuming everything is working, and in ETOPS type operations. However, if a strong wind kicks up, as it almost always does in the winter, SFO would be chancy, and SEA out of the question.
In the DC-10 I've seen westbound times range from 4.5 to over 6 hours. That's more than a 25% difference. And winds can easily hit 150kts on the nose. With a slower airplane like a Lear, your exposure is longer, and your range less. Honestly, the only business aircraft I've seen going across the pond are Gulfstreams, Challengers, and a few Falcons.
Probably the best source of information would be the NBAA. The have charts and info on all the biz-jets, and what (following their guidelines) they are capable of.
HAL