Do you have an official proof that these episodes will be broadcasted as a second season at the dates you have listed ?

When the show was first announced it was announced on the social media accounts, and was announced as being filmed for the 60th specials and ncutis first series. On a non official level the host was also spotted on set filming. If this isn't official enough then it's likely to be added to the tv schedule in 2 weeks.

@Noah_Powell said:

When the show was first announced it was announced on the social media accounts, and was announced as being filmed for the 60th specials and ncutis first series. On a non official level the host was also spotted on set filming. If this isn't official enough then it's likely to be added to the tv schedule in 2 weeks.

We need an official proof that this will be considered as a 2nd season...

There is now official proof here by the host of the show in response to the season 1 premiere. https://twitter.com/SteffanPowell/status/1783624376815890759?t=24os1J78TP5x46hYL_wx-A&s=19

This tweet just indicate that DoctorWho Unleashed will return.

There are no informations in it that indicate if it will be a season 2 or a continuation of the first season.