The XML file you posted did not have any node calibrations, though there were a few monophyletic constraints (see diff of the file you posted and the one I did below — only time units were changed). Perhaps you added the node distributions and saved them in another file?
I am not sure whether mixing node distributions with the FBD model works as expected — it is well known that the Yule model and node distributions interact in unexpected ways, so the calibrated Yule is preferred over the Yule. Alternatively, if the node distributions are based on the fossil record, perhaps you can consider adding information of these fossils to the analysis.
< Phrissospongia_glandiformis_75.0=75.0,
< Leiocarenas_planus_155.5=155.5,
< Pachinion_scriptum_84.9=84.9,
< Procorallistes_polymorphus_83.6=83.6,
< Geodia_hopetouni_37.8=37.8,
< Crellastrina_sp_37.8=37.8,
< Tethya_sp_37.8=37.8,
< Paleospongilla_chubutensis_100.0=100.0,
< Mastosia_wetzleri_155.5=155.5 <taxa id="TaxonSet.b_Demo_prot_fossils" spec="TaxonSet">
---
> Phrissospongia_glandiformis_75.0=0.750,
> Leiocarenas_planus_155.5=1.555,
> Pachinion_scriptum_84.9=0.849,
> Procorallistes_polymorphus_83.6=0.836,
> Geodia_hopetouni_37.8=0.378,
> Crellastrina_sp_37.8=0.378,
> Tethya_sp_37.8=0.378,
> Paleospongilla_chubutensis_100.0=1.000,
> Mastosia_wetzleri_155.5=1.555 <taxa id="TaxonSet.b_Demo_prot_fossils" spec="TaxonSet">
132c132
< <parameter id="originFBD.t:demoTree" lower="252.0" name="stateNode" upper="201.0">252.0</parameter>
---
> <parameter id="originFBD.t:demoTree" upper="2.520" name="stateNode" lower="2.010">2.520</parameter>
139c139
< <parameter id="randomPopSize.t:demoTree" name="popSize">1.0</parameter>
---
> <parameter id="randomPopSize.t:demoTree" name="popSize">0.100</parameter>
155c155
< <LogNormal id="LogNormalDistributionModel.0" M="@parameter.hyperLogNormalDistributionModel-M-originPriorFBD.t:demoTree" S="@parameter.hyperLogNormalDistributionModel-S-originPriorFBD.t:demoTree" meanInRealSpace="true" name="distr" offset="252.0"/>
---
> <LogNormal id="LogNormalDistributionModel.0" M="@parameter.hyperLogNormalDistributionModel-M-originPriorFBD.t:demoTree" S="@parameter.hyperLogNormalDistributionModel-S-originPriorFBD.t:demoTree" meanInRealSpace="true" name="distr" offset="2.010"/>