The first statement is correct. For the 2nd one this is not always the case. In a titration the unknown could be in the burette or in the conical flask. It's just more common that you place the unknown in the conical flask and known in the burette. However, sometimes a colour change using the indicator is easier to see if you are going from basic pH to acidic pH vs acidic pH to basic pH and vice versa, so where you put the unknown and known can be interchanged to make the experiment more accurate.
Generally though an easy way to avoid the confusion around what volume is linked to which compound, is to use the rule that if you assign a volume to one compound, the other volume is for the other compound. That way you don't have to focus on the english terminology of the question which might lead to mixing up the numbers.
For example, in the above you can see 25.00 mL of NaOH
and then that means the titres in the table are for HCl since you can't have 2 volumes for the same compound with one being an aliquot and a titre at the same time. You can do this in the reverse way as well if they label Titre of X