How can I insert my custom Table of Contents in LO-Writer?

edit

The first layout is quite easy: when editing the TOC, for each outline level just select the tab stop

And press Del to remove it. To get the effect on the chapter numbering, you need to apply to it a character style (create/modify a character style, then in the TOC settings select the E# button and pick the right style from the menu below).

AFAIK, the second layout (chapters without columns, sections with columns), is not possible with Writer.

Others may know better than me but the Table of Contents in lo writer builds by heading level so Chapter 1 is heading 1 1.1 is heading 2 1.1.1 is heading three and so forth until the next heading 1 is what the off line help seems to indicate.