Try it out and see if it works well before leaving.
If it works, and doesn't cycle on and off when turned on but no water is being consumed, you've done about all the maintenance that could be expected. If it doesn't work, fix or replace it. Fixing might be as simple as disassembly and cleaning.
I wouldn't worry if it does cycle on for a second or three once in a great while when not using water, say a couple times an hour or less frequently. That would mean a teeny bit of water is leaking back through the internal check valve in the pump, typically because there's a tiny speck of dirt or grit keeping it from sealing perfectly. Sometimes that will correct itself, but even if not, there's no real harm being done. (It could also be due to a drip or slow leak somewhere else in the water system, but I assume you'd probably have discovered any such already.)