I have submitted an application using the new system too.
I agree with @Silversitters that the test box is too small - for all the same reasons.
I also think the rocket is inappropriate and should be changed to something more related to house or pet sitting.
One anomaly I have noticed is with the status labels on the conversations in the left hand pane of the inbox. If a pet parent invites you to sit, and you reply without applying, the conversation is labelled “Applied to {start date of sit}”. This is confusing as it looks as if I’ve applied for many more sits than I have! Sometimes this status disappears, perhaps if the pet parent withdraws the invitation? However some are still showing with this incorrect status several weeks after the sit I didn’t apply to would have occurred!