Acid catalysed dehydration of 5-methylidenecyclopent-2-en-1-ol
I'd say your mechanism is acceptable. However, the final product, pentafulvene (PIN: 5-Methylidenecyclopenta-1,3-diene) is said to be not stable at room temperature. Generally, fulvenes are thermally unstable, sensitive to oxygen and photosensitive (Ref.1). They are also prone to acid- and cation-catalysed polymerisations. For example, there have been numerous reports of pentafulvenes undergoing dimerization via Diels–Alder cycloadditions at room temperature similar to that of cyclopentadiene (e.g., Ref.2):

Based on these facts, I'd like to suggest an alternative path for the reaction giving much stable cyclopentaenone derivative:

References:

Ellen Swan, Kirsten Platts, Anton Blencowe, &quot;An overview of the cycloaddition chemistry of fulvenes and emerging applications,&quot; Beilstein J. Org. Chem. 2019, 15, 2113–2132 (doi:10.3762/bjoc.15.209).
Beat Uebersax, Markus Neuenschwander, Hans‐Peter Kellerhals, &quot;Fulven‐Dimere: Synthese, Strukturbeweis and thermisches Verhalten,&quot; Helvetica Chimica Acta 1982, 65(1), 74-88 (https://doi.org/10.1002/hlca.19820650109).