Dear Jane,
How are you and your family? 
It'd been quite a long time when we last saw, hope you are doing well. 
The end of the semester is just around the corner. 
I am wondering if you already have any plan for this holidays? Otherwise I would like to invite you to our place so we can spend time together. My whole family will take a vacation on a beach it should be amazing vacation bath ourselves in the warm sun, swim in the ocean and eat delicious seafood. I can just smell the fresh air and can't wait to go. I hope you can join us, it will be very fun.
Hope to see you soon.