Managing HTB ISA & LISA

I currently have a HTB ISA where I put the £200 a month.



I am thinking about buying my first home, but looking at the properties that are available to me I'm unlikely to find one for under £250k. I'm also not sure whether I will buy within a year or not.

Can I:
- Open a LISA now with £1
- Just before the end of the tax year decide whether I am happy to wait until Feb 2021 to buy a property
- Put £4k into the LISA just before the end of the tax year
- Put £4k into the LISA in the next tax year
- Use the LISA to buy a home in after Feb 2021

But also:
- Continue paying in £200 a month to my HTB ISA for now in case I decide to buy before Feb 2021 and miraculously find a property for under £250k

Are there any potential issues with this? I've been doing research but not sure I've covered everything.