Hi,
first of all welcome to LPF.
I received your message, but unfortunatelly you do not have allowed responses here, so I send it on your "wall".
Not sure about your Arctic from your description. Rectangular dot is completely fine, it is characteristic of the diode lasers. However 2 beams seem to be mode hopping, diodes like these in Arctics are multimode, therefore it might be normal. Also I noticed my Evo (but it is DPSS, not diode) does the same thing (from TEM00 jumps to TEM01 or TEM10 - depending on how the module is oriented) but only at low power or if temperature is not optimal, for DPSS and the technology of curved mirrors it might be typical under certain circumstances.
You might try to take some pics of the problem you have and post it in separate thread with various additional details (like temperature, power settings or current etc.) to let also others express their opinions.