Yes, a threefarthings with Bust 3I, the threehalfpence were only ever issued with bust 3G.
You’re lucky with this one because, even though you can’t see a mintmark either side, we can say it’s a pheon (broad arrow), because you have lions 33 on the reverse, which were only ever present in combination with a pheon.
Equally all the other corroborative reverse devices are unusually clear (Lis 19, leaves 15, and shield 24). They were only ever present in combination with the bust and mintmark for 1561. Without all this lucky info (the clear devices I mean) it would’ve been difficult to even offer a mintmark. Also the date could easily have been min-interpreted without the amazing efforts of BCW.
Edit: and yes it would (does) have a rose behind the bust.