Indonesia need advice - first time goer

Hello adventurers,

A friend and I are planning a 1 month trip in indonesia. I am researching about places and getting overwhealmed the longer I do it so came here to ask:

What would be a good trip to do for 2 backpackers moderate budget, wanting to mix culture, hiking, wildlife, social beach/chill/party.

I was thinking 10 days central/east Java, 10 days sulawesi (dont know what or where though), and then close of with 10 days of islands east of bali.

In java id like to experience nature/hike, check out temples, but also explore without strong plan. Was thinking of renting a motorbike.

In Sulawesi the same.

In islands east of bali to see the wildlife but also chill socializing. Not looking for influencer experience but more classic backpacking.

I am trying to have couple of targets to see in each place although would like to have time in between to move around so that I am not rushing.

My questions are:

Is this duable in a month so that I am not rushing?

Is it a good round trip as I am landing first in Jakharta?

Can I be fully on motorbike in Java and Sulawesi or do I need to depend on other means of transportation?

Islands east of Bali, is it better to go for 1/2 islands to see wildlife but also chill with locals rather then just island hop for 10 days? If so, which islands shluld I check out?

Should I change my plans as 10 days for each might be too short to immerse?

Ps. I do know 10 days sometimes aint enough to really experience a place. Its my first time and trying to get a mixture of settling in and going around.

Thank you thank you!