Welcome to the forum!

Of course you are allowed to leave the UK and have holidays whenever you want within those 33 months.

About your savings, I'd rather leave it there in your Philippine bank account. Like what imagine said above, it won't be worth that much in the UK (well unless you have hundreds of thousands..haha) and would be best used whenever you travel back to the Philippines. Make sure though that you do make your account active and not let it become dormant (transfer a few money monthly so you'd have transactions and the bank won't close it).

About packing your things, leave most of your summer clothes there. Majority of the year here in the UK is cold. Summer months probably have the same temp as in Tagaytay.

With regards to your books, I sent all my books (along with other things I need/want like shoes, bags and toiletries) to UK via Philpost EMS at a price. Well, I spent around 12K Pesos for a 27kg box. If you are prepared to shoulder the price, then it's worth it if you really need your books and stuff.

About being homesick..well I've been here for already 3 years and 2 months and I still feel homesick at times, especially during Christmas and New Year. Just make sure that you'll have plenty of things to do here in the UK, i.e. getting work, having new friends, being accepted by your husband's family and friends, etc. and you'd be okay eventually.
Plus, stay connected here in the forum and you'd be good.