Anyone here can Point me A Good Place to Start if im Up to Building Multi-level Marketing Script?

I already started building the the Script i already have the Registration Done Using Laravel. IVe done 2 payplan My Only Problem Now is Im Having Hard time With the Matrix Part. This is a 2x5 matrix. My Database Model is like this

Matrixs Table linkID SponsorLinkID ParentID ChildLeftID ChildRightID.

Dont Know if i Will Add Depth Column Here Since my ChildLeft and ChildRightID is my Max Width of 2

Since you can only have 2 on your first level (ChildLeftID) and (ChildRightID) that is how i come up with that model. For the Tree View I Come up with this Positioning 1 = (1,1) 2 =(1,2) 3=(2,1) 4=(2,2) 5 =(3,1) 6 =(3,2) up to 62= ( 31,2) .

My Dilemna is this I want a LinkID to Be a Root For All The Users Owner. Then Those Position will be applied on to them depending on the ParentID and if the Position is Available.

Since A Link Can Only Refer on First level up to 2 , if the position for 1 and 2 is filled up I want it to go to 3 or 4 whichever is the first available.

Ive already Built the Relationship of a Child and Parent in my Model.

I Just Need Any Reference Books or Help that can Point me to Finished this Project. If anyone has experience building this type of Script , Please point me to the right Direction thanks.