Going through a revision rhinoplasty is stressful enough, let alone dealing with this during a holiday week when it can be hard to get in touch with your surgeon! From your photos, it appears you may have an infection of your tip considering how red and swollen it is. If it's also warm and tender to touch, you almost certainly have an infection and should be on antibiotics. It's uncommon for a rib graft to get infected, especially this far out from surgery so I can't speak to the root case. Any trauma to the nose? It is also possible that you are seeing your cartilage graft more readily through thinned nasal tip skin. Unlike silicone nasal implants, it is very uncommon for a rib cartilage graft to extrude. The fact that this developed quite acutely and looks like a pimple with a white head and surrounding redness, I think you are seeing a collection of pus rather that cartilage extruding. This may open up and drain on its own, regardless of when you start antibiotics. If it does drain, the drainage should be cultured. I would definitely continue to try to get in touch with your surgeon. If this continues to be an issue, go to an urgent care so you can at least get started on antibiotics. Good antibiotic choices would be something that covers MRSA like Doxycycline or Bactrim.
Being 6 months out from a rhinoplasty, manipulation of the nose as described is perfectly ok. In terms of do's and don'ts after rhinoplasty, you want to avoid any significant manipulation of the nose for about 2 weeks after surgery. You can start blowing your nose gently 1 week after surgery and you can start exercising again about 3 weeks after surgery. Any bone cuts that were made heal in about 6 weeks. Another factor to consider is whether or not cartilage grafts were placed at the time of your rhinoplasty. These grafts give the nose additional support/make is stronger. It is not surprising that you found the nose manipulation a bit uncomfortable. You definitely still have swelling in your nose 6 months out as it takes over a year to all go down. You may also still have some tip numbness, although this should already be well on its way to improvement. To actually damage your nose at this point would require some kind of heavy blow to the face like running into something or getting hit with a ball or someone's elbow. Be careful with sports but rest assured that touching your nose or having a doctor examine it is not going to hurt anything.