Malaysia visa-free entry (14 days) – re-entry after visiting Singapore?

I am Myanmar nationality & will be visiting KL from the UAE.
I’ll stay in KL for 5 days, then fly to Singapore and stay there for 4 days. After that, I’ll re-enter KL for the second time and stay for around another 4 days before returning.
With this plan, does the 14-day visa-free entry still apply? I don’t need to apply for the one-month visa, right?
I’ll also make sure to fill out the arrival cards for both countries in advance, and I already have show money, flight tickets, and hotel booking confirmations.
Is there anything else that might be required?
Also, does Malaysia have any limit on entering the country for a second time within the same month?