Intel Corporation Centrino Ultimate-N 6300 simultaneous WiFi + Access point

I mean to have my laptop under Ubuntu 16.04LTS as both an Access Point and using it also to connect to internet (e.g., browsing). I found that this is possible. I would need

$ iw list    
Wiphy phy0
...
        Supported interface modes:
                 ...
                 * AP

but in my case

$ iw list
Wiphy phy0
...
        Supported interface modes:
                 * IBSS
                 * managed
                 * monitor

I have a

$ lspci | grep -i Network
03:00.0 Network controller: Intel Corporation Centrino Ultimate-N 6300 (rev 35)
$ ethtool -i wlp3s0 | grep driver
driver: iwlwifi

From the many references that I read, I wasn't clear about a few points:

1. Does my card support AP per se? According to this and this, the card is capable of using Intel® My WiFi Dashboard, so it would support AP.

2. Is it mandatory to have AP mode supported by the driver? According to this, iwlwifi, what I have, would be ok, so I would already have hardware and drivers supporting AP mode (but there is something clearly missing).

3. Can I change to Broadcom driver to get the AP mode? (I did not dare trying, lest ruining my current wifi access and getting none).

4. Must I install ap-hotspot or create_ap?