Can I translate 哭拜 as mourn?
One quick translation I found on google books from Two Thousand Zhuang Proverbs from China with Annotations and Chinese and English Translation:

Daxnuengx bingzciengz yaek doxgyaez, ndei gvaq daengz seiz daejhenz moh.
姐妹平时相疼爱，胜过坟前相哭拜。
Dear love between sisters when alive is better than crying sadly in front of the grave.

It does go to show that 哭拜 is often associated with graves, like your sentence above.
I would doubt these are professional criers - especially with the Zhuang proverb talking about sisters mourning for one another.
edit: Here's another instance I found from Rocky English

When RuanJi was mourning for his mother, one day his friend PeiKai came to grieve for Ruan's mother. He saw that Ruan was in great silence and refused to stand up to grieve, just sitting aside without having his hair teased.
记得阮籍守丧期间，有一天朋友裴楷前去吊唁，在阮籍母亲的灵堂里哭拜，而阮籍却披散着头发坐着，既不起立也不哭拜，只是两眼发直，表情木然。

Here it gets translated as grieve.
Also there's a translation here on CSLPOD

不久，英台被迫出嫁，当花轿绕道至梁山伯坟前，英台执意下轿，哭拜亡灵，一时之间风雨大作、阴风惨惨，梁山伯的坟墓突然裂开，英台见状，奋不顾身地跳进去，坟墓马上合拢起来。
Soon, Yingtai was forced to get married. The bridal sedan chair made a detour to get to Liang Shanbo's grave. Yingtai insisted on getting off the sedan chair. All of a sudden, it became chilly and gloomy with wind and rain. Liang Shanbo's grave burst open. Yingtai fearlessly jumped in and suddenly the wind stopped and the rain too.

Here the translation is more just like to go to the grave.

So, 常常玩...学别人哭拜的游戏 just means that he often made a game of copying the mourners.

You might want to try and add it to MDBG. Here is the Add / change CC-CEDICT entry page.
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