Excellent.

Probably this is something like “наши друзья/близкие про нас [наши отношения] чего-нибудь наговорят/напридумывают”.
Exactly.

P.S.

However "сплетут" here is unusual. In normal speech it must be "наплетут". Moreover "сплетут" is not used in this meaning at all.
And it seems to me that it is not about rhyme (it can be easely achieved with "наплетут"). But "Наплетут" is "plebeian/vulgar" word. Not so good for this song.
"Сплести" sounds like semi-metaphor here. "to weave laces of words" which is why "наплести" in this meaning exists, but unfortunatly as part of "demotic speech".