Welcome to T-net.
Unfortunately, your pictures are terribly out of focus but, if those are vesicles (bubbles) in your first picture then that alone confirms it isn't a meteorite.
It's not possible to say from the pictures if that's something man-made, or geological but what you're describing is not completely uncommon. Many common materials are 'diamagnetic' (ie they repel a magnet or are repelled by a magnetic field, but it's a very weak effect that isn't normally observable unless the magnet or magnetic field is extremely strong. More commonly the effect is the result of iron or ferro-magnetic compounds being present in oriented and/or elongated crystal form or linear trails of particles which have themselves become magnetised. The mineral magnetite for example will sometimes occur in this form.
That results in the formation effectively behaving like a bar magnet, having a 'positive' and 'negative' end... a north and south pole if you like, and there can be multiple occurrences of that distributed within a piece of rock. Both ends are capable of repelling or attracting a magnet, depending on which end of that magnet you present to them.