So sorry, I have no idea whether you can force lavender to bloom off-season in a greenhouse. I've always experienced lavenders as late spring/summer bloomers. Some lavender species are more cold-hardy than others. Have you researched the cold tolerance of yours? Winter protection of potted plants is usually needed in hard freezes. I often use bubble wrap around the pot and keep it in a protected area. Garage, if lighted, could work. Your greenhouse might be fine. The temperature seems high, but again, I don't have greenhouse experience.
This appears to be a very comprehensive article about lavender culture. Perhaps it will answer some e of your questions
https://www.gardenerreport.com...