Skipton LISA & Bonus Timings.

Hi,
I am expecting to get a DIP in the next couple of days and (if ok) I will be putting in an offer on a house after that.

I opened a Skipton Lisa on the 2nd October 2017, (So I can use it toward a house purchase in about 1mths time)

I am presuming it will take at least this long to sort the rest of the sale out?
At the moment I have £5k in the LISA (£4000 paid in in March plus the £1k Bonus).

If, by any chance I need the deposit within the next 4 weeks I could just about raise it without using the £5k in the Lisa. (worse case, I may need to withdraw from the lisa and lose the 25%)

I am expecting the sale to take longer than this though although not really any idea of the actual timescale!

If I pay another £4000 in before the 5th (ie. tomorrow) then by my reckoning should get paid the extra £1k bonus around the 2nd october as well.

Main downside to this is if I need the deposit any sooner I would definatly have to withdraw from the lisa early and could end up loosing £500 if this is the case.

First question: If I need the deposit money before the 2nd October do I just instruct the convancing solicitor to withdraw £7500 from my lisa? Will this work ok as the £1k bonus won't have been paid by the time funds are withdrawn.

2nd Q: If I pay £4k in now, then withdraw the lot in a couple of weeks, will I still get the 2nd bonus paid in a couple of weeks? If so, I presume I could leave that in place for my pension?

3rd Q: If I don't need the deposit until after the 2nd Oct, If I use the full £10k would I still be able to keep the Lisa open? I have not seen any intrest payments get added to the account yet. I presume the first intrest payment will be around the 2nd Oct so there should be around £25 or so going in which I presume would be enough to keep the lisa active and alow me to start making payments for pension savings going forward?

Finally, Are my timescales above correct?

Thanks!!