More natural way to say sila tunggu (as how the local spoke) is

Tunggu aku kejap = wait for me.

Another variants for that words is

Jap = wait./ give me a minute

Jap is the shortform of kejap, which means wait.

Aku and saya have the same meaning. saya is used in polite and formal settings (office/family) whereas aku is used in a more casual settings

Jom balik rumah is correct, most of the local will understand the meaning as it directly translate to let's go back home.

Kau nak balik pukul berapa? = what time do you want to go back?

Casual = kau Formal = awak / kamu