Would joining two words together or keeping a space between two words be considered as a series?

Marks comprising a series are acceptable if they are substantially the same. In the example below the mark applied for clearly consists of two separate words.

Mark Applied for: "Trade Mark"

Series:

TradeMark
trademark
TRADEMARK

The same applies to the mark where the capitalisation of the second word makes it clear that the mark is really one word even though they are conjoined.

Different considerations apply to the remaining two marks where the two words are not separated but are in the same type case i.e. one in lower case throughout and one in upper case.

When examining such marks the examiner must decide if the two words "separate naturally".

To do this the examiner will consider how the average consumer of the goods and/or services in question will perceive the marks. If they will all be perceived as the two words you quote as a trade mark then they will form a series, if not then an objection would be raised although there are ways to overcome such an objection.