No, it is not necessary to send a Thank You Card for a a funeral mass card.
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Yes. A mass card will be appreciated at any time.
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Yes. It is customary to express thanks at receiving a Mass.
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You can obtain a mass card from a local Catholic church or a religious bookstore. Some funeral homes also provide mass cards for purchase. Additionally, you may be able to order a mass card online from Catholic websites or retailers.
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A Catholic Mass card is telling the recipient that a certain
prayer or prayers are being said at a specific time and place for
their loved one. Mass cards are usually given in lieu of flowers at
funerals. To get a Mass card you usually give the church a
donation. I guess if someone was ill or just going through
difficult times a Mass card could be given also; after all prayers
are not only for the deceased.