I want some recommendation on introductory level books on the mentioned topics. if someone recommend good lecture notes/tutorials on the mentioned topic that also appreciable. If someone share some beginner level interesting research work on this topics that also helpful.
I personally didn't find any suggested book on this topic on the math stack exchange. So I'm asking this.
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For what it's worth, I think the best intro to percolation by far is the following set of lecture notes by Hugo Duminil- Copin:
https://www.ihes.fr/~duminil/publi/2017percolation.pdf
It comes with some really nice exercises and covers quite a lot in just 30 pages.
Either of these two books from Geoffrey Grimmett should fit the bill.
In particular, I found that working through 2 was easier. There is also a draft on his website. Note that this only covers the case of percolation on graphs. There is also the study of percolation on $\mathbb{R}$, known as continuum percolation, which is not covered.