Correct; partially. Yes, Wappen was a fair bit later ship than Vasa, and was also Dutch designed (and i believe Dutch-built as well), which is why Wappen makes a good 'stand-in' for a mid or late Anglo-Dutch wars Dutch ship. As for gun nomenclature, the English Ordinance Establishment of 1677 stiill refers to guns in archaic terms. For instance, under the 1677 Establishment, the Britannia was equipped with 26 x cannon-of-seven, 28 x culverins, 28 sakers, 16 light sakers, and two 3 pounders. '24 pounders' make their appearance in the Ordinance Establishment of 1685, but at the same time cannon-of seven, demi-cannon, culverins, demi-culverins, sakers, and minions are still very much in evidence! You really don't get a complete switch-over to 'pounder' designations until after 1700, and for good reason; cannons are expensive, last a long time, and there is no sense in recasting, or replacing perfectly good guns when you already have a fleet equipped with them!
While I am not certain as to the exact type of guns were used by the Hamburgers on Wappen, chances are they got their guns from the Dutch as well. The Dutch had a hard time getting sufficient guns throughout the 17th century, partly because they had no good local sources of raw material (iron, copper and tin), and partly because they spent a lot of the century either at war with one or other (sometimes all!) countries that DID have such resources (Cornwall was the major supplier of tin in Europe), or were under one sort of trade embargo or another.
Unsurprisingly, Dutch ships of the period were noted not only for being undergunned in absolute numbers, but also were often undergunned for their size as well in terms of calibers. Partly this was a result of the need to keep the draft of these vessels as shallow as possible because of the very 'thin' water available in the Sheldt and other waters of the Netherlands, but also because in many cases suitable guns just were not available. The Dutch adapted their tactics to deal with this situation, by emphasizing boarding enemy vessels as soon as possible, while the English preferred to stand off and pound with their heavier (and more readily available!)artillery.......