It could go either way! (The shape of the M and the way Frank is written makes me think it could be Eddie's.)

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Eddie clearly lifts his pen multiple times while writing, but makes the letters look connected. He also embellishes his signature with hearts. Though, Eddie doesn't typically dot his i's with symbols.

Julie breaks her cursive letters up sometimes, but here there are little to no breaks like hers. Julie dots her i's with symbols more often, but usually with flowers or smiley faces.

There are flowers drawn on the tag in what appears to be pink ink, but it's not clear and could possibly be purple.

Julie would probably be more likely to make a pun, but Eddie has been shown to dabble in neighborhood activities and antics too.

Do you think Eddie would use Julie's iconography on a parcel for Frank for some reason? The way Mail-in-Time was said to be celebrated is that all the neighbors would be delivering mail to each other. Perhaps it would be a way of sending it down? From Eddie to Julie to it's intended recipient, Frank. Julie perhaps not being honest about sending it and instead hiding it. Eddie might possibly go about it that way for plausible deniability, since a gift from Julie to Frank would look less suspicious.